Answered: A countershaft carrying two V-belt…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

A countershaft carrying two V-belt pulleys is shown in the figure. Pulley A receives power from a
motor through a belt with the belt tensions shown. The power is transmitted through the shaft and
delivered to the belt on pulley B. Assume the belt tension on the loose side at B is 15 percent of
the tension on the tight side.
(a) Determine the tensions in the belt on pulley B, assuming the shaft is running at a constant
speed.
(b) Find the magnitudes of the bearing reaction forces, assuming the bearings act as simple
supports.
(c) Draw shear-force and bending-moment diagrams for the shaft. If needed, make one set for the
horizontal plane and another set for the vertical plane.
(d) At the point of maximum bending moment, determine the bending stress and the torsional
shear stress.
(e) At the point of maximum bending moment, determine the principal stresses and the
maximum shear stress.

2
y
T₁
B
250-mm dia.
230 mm
T2
280 mm
30-mm dia.
300 mm
A
400-mm dia.
270 N
x
1800 N

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